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			829 lines
		
	
	
	
		
			28 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
	
	
.. highlight:: c
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.. _longobjects:
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Integer Objects
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---------------
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.. index:: pair: object; long integer
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           pair: object; integer
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All integers are implemented as "long" integer objects of arbitrary size.
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On error, most ``PyLong_As*`` APIs return ``(return type)-1`` which cannot be
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distinguished from a number.  Use :c:func:`PyErr_Occurred` to disambiguate.
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.. c:type:: PyLongObject
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   This subtype of :c:type:`PyObject` represents a Python integer object.
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.. c:var:: PyTypeObject PyLong_Type
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   This instance of :c:type:`PyTypeObject` represents the Python integer type.
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   This is the same object as :class:`int` in the Python layer.
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.. c:function:: int PyLong_Check(PyObject *p)
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   Return true if its argument is a :c:type:`PyLongObject` or a subtype of
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   :c:type:`PyLongObject`.  This function always succeeds.
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.. c:function:: int PyLong_CheckExact(PyObject *p)
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   Return true if its argument is a :c:type:`PyLongObject`, but not a subtype of
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   :c:type:`PyLongObject`.  This function always succeeds.
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.. c:function:: PyObject* PyLong_FromLong(long v)
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   Return a new :c:type:`PyLongObject` object from *v*, or ``NULL`` on failure.
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   The current implementation keeps an array of integer objects for all integers
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   between ``-5`` and ``256``. When you create an int in that range you actually
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   just get back a reference to the existing object.
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.. c:function:: PyObject* PyLong_FromUnsignedLong(unsigned long v)
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   Return a new :c:type:`PyLongObject` object from a C :c:expr:`unsigned long`, or
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   ``NULL`` on failure.
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.. c:function:: PyObject* PyLong_FromSsize_t(Py_ssize_t v)
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   Return a new :c:type:`PyLongObject` object from a C :c:type:`Py_ssize_t`, or
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   ``NULL`` on failure.
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.. c:function:: PyObject* PyLong_FromSize_t(size_t v)
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   Return a new :c:type:`PyLongObject` object from a C :c:type:`size_t`, or
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   ``NULL`` on failure.
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.. c:function:: PyObject* PyLong_FromLongLong(long long v)
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   Return a new :c:type:`PyLongObject` object from a C :c:expr:`long long`, or ``NULL``
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   on failure.
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.. c:function:: PyObject* PyLong_FromInt32(int32_t value)
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                PyObject* PyLong_FromInt64(int64_t value)
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   Return a new :c:type:`PyLongObject` object from a signed C
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   :c:expr:`int32_t` or :c:expr:`int64_t`, or ``NULL``
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   with an exception set on failure.
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   .. versionadded:: 3.14
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.. c:function:: PyObject* PyLong_FromUnsignedLongLong(unsigned long long v)
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   Return a new :c:type:`PyLongObject` object from a C :c:expr:`unsigned long long`,
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   or ``NULL`` on failure.
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.. c:function:: PyObject* PyLong_FromUInt32(uint32_t value)
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                PyObject* PyLong_FromUInt64(uint64_t value)
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   Return a new :c:type:`PyLongObject` object from an unsigned C
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   :c:expr:`uint32_t` or :c:expr:`uint64_t`, or ``NULL``
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   with an exception set on failure.
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   .. versionadded:: 3.14
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.. c:function:: PyObject* PyLong_FromDouble(double v)
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   Return a new :c:type:`PyLongObject` object from the integer part of *v*, or
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   ``NULL`` on failure.
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.. c:function:: PyObject* PyLong_FromString(const char *str, char **pend, int base)
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   Return a new :c:type:`PyLongObject` based on the string value in *str*, which
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   is interpreted according to the radix in *base*, or ``NULL`` on failure.  If
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   *pend* is non-``NULL``, *\*pend* will point to the end of *str* on success or
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   to the first character that could not be processed on error.  If *base* is ``0``,
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   *str* is interpreted using the :ref:`integers` definition; in this case, leading
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   zeros in a non-zero decimal number raises a :exc:`ValueError`.  If *base* is not
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   ``0``, it must be between ``2`` and ``36``, inclusive.  Leading and trailing
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   whitespace and single underscores after a base specifier and between digits are
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   ignored.  If there are no digits or *str* is not NULL-terminated following the
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   digits and trailing whitespace, :exc:`ValueError` will be raised.
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   .. seealso:: :c:func:`PyLong_AsNativeBytes()` and
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      :c:func:`PyLong_FromNativeBytes()` functions can be used to convert
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      a :c:type:`PyLongObject` to/from an array of bytes in base ``256``.
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.. c:function:: PyObject* PyLong_FromUnicodeObject(PyObject *u, int base)
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   Convert a sequence of Unicode digits in the string *u* to a Python integer
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   value.
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   .. versionadded:: 3.3
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.. c:function:: PyObject* PyLong_FromVoidPtr(void *p)
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   Create a Python integer from the pointer *p*. The pointer value can be
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   retrieved from the resulting value using :c:func:`PyLong_AsVoidPtr`.
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.. c:function:: PyObject* PyLong_FromNativeBytes(const void* buffer, size_t n_bytes, int flags)
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   Create a Python integer from the value contained in the first *n_bytes* of
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   *buffer*, interpreted as a two's-complement signed number.
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   *flags* are as for :c:func:`PyLong_AsNativeBytes`. Passing ``-1`` will select
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   the native endian that CPython was compiled with and assume that the
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   most-significant bit is a sign bit. Passing
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   ``Py_ASNATIVEBYTES_UNSIGNED_BUFFER`` will produce the same result as calling
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   :c:func:`PyLong_FromUnsignedNativeBytes`. Other flags are ignored.
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   .. versionadded:: 3.13
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.. c:function:: PyObject* PyLong_FromUnsignedNativeBytes(const void* buffer, size_t n_bytes, int flags)
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   Create a Python integer from the value contained in the first *n_bytes* of
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   *buffer*, interpreted as an unsigned number.
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   *flags* are as for :c:func:`PyLong_AsNativeBytes`. Passing ``-1`` will select
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   the native endian that CPython was compiled with and assume that the
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   most-significant bit is not a sign bit. Flags other than endian are ignored.
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   .. versionadded:: 3.13
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.. c:function:: long PyLong_AsLong(PyObject *obj)
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   .. index::
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      single: LONG_MAX (C macro)
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      single: OverflowError (built-in exception)
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   Return a C :c:expr:`long` representation of *obj*.  If *obj* is not an
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   instance of :c:type:`PyLongObject`, first call its :meth:`~object.__index__` method
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   (if present) to convert it to a :c:type:`PyLongObject`.
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   Raise :exc:`OverflowError` if the value of *obj* is out of range for a
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   :c:expr:`long`.
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   Returns ``-1`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
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   .. versionchanged:: 3.8
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      Use :meth:`~object.__index__` if available.
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   .. versionchanged:: 3.10
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      This function will no longer use :meth:`~object.__int__`.
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   .. c:namespace:: NULL
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   .. c:function:: long PyLong_AS_LONG(PyObject *obj)
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      A :term:`soft deprecated` alias.
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      Exactly equivalent to the preferred ``PyLong_AsLong``. In particular,
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      it can fail with :exc:`OverflowError` or another exception.
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      .. deprecated:: 3.14
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         The function is soft deprecated.
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.. c:function:: int PyLong_AsInt(PyObject *obj)
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   Similar to :c:func:`PyLong_AsLong`, but store the result in a C
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   :c:expr:`int` instead of a C :c:expr:`long`.
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   .. versionadded:: 3.13
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.. c:function:: long PyLong_AsLongAndOverflow(PyObject *obj, int *overflow)
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   Return a C :c:expr:`long` representation of *obj*.  If *obj* is not an
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   instance of :c:type:`PyLongObject`, first call its :meth:`~object.__index__`
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   method (if present) to convert it to a :c:type:`PyLongObject`.
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   If the value of *obj* is greater than :c:macro:`LONG_MAX` or less than
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   :c:macro:`LONG_MIN`, set *\*overflow* to ``1`` or ``-1``, respectively, and
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   return ``-1``; otherwise, set *\*overflow* to ``0``.  If any other exception
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   occurs set *\*overflow* to ``0`` and return ``-1`` as usual.
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   Returns ``-1`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
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   .. versionchanged:: 3.8
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      Use :meth:`~object.__index__` if available.
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   .. versionchanged:: 3.10
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      This function will no longer use :meth:`~object.__int__`.
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.. c:function:: long long PyLong_AsLongLong(PyObject *obj)
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   .. index::
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      single: OverflowError (built-in exception)
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   Return a C :c:expr:`long long` representation of *obj*.  If *obj* is not an
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   instance of :c:type:`PyLongObject`, first call its :meth:`~object.__index__` method
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   (if present) to convert it to a :c:type:`PyLongObject`.
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   Raise :exc:`OverflowError` if the value of *obj* is out of range for a
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   :c:expr:`long long`.
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   Returns ``-1`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
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   .. versionchanged:: 3.8
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      Use :meth:`~object.__index__` if available.
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   .. versionchanged:: 3.10
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      This function will no longer use :meth:`~object.__int__`.
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.. c:function:: long long PyLong_AsLongLongAndOverflow(PyObject *obj, int *overflow)
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   Return a C :c:expr:`long long` representation of *obj*.  If *obj* is not an
 | 
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   instance of :c:type:`PyLongObject`, first call its :meth:`~object.__index__` method
 | 
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   (if present) to convert it to a :c:type:`PyLongObject`.
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   If the value of *obj* is greater than :c:macro:`LLONG_MAX` or less than
 | 
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   :c:macro:`LLONG_MIN`, set *\*overflow* to ``1`` or ``-1``, respectively,
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   and return ``-1``; otherwise, set *\*overflow* to ``0``.  If any other
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   exception occurs set *\*overflow* to ``0`` and return ``-1`` as usual.
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   Returns ``-1`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
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   .. versionadded:: 3.2
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   .. versionchanged:: 3.8
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      Use :meth:`~object.__index__` if available.
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   .. versionchanged:: 3.10
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      This function will no longer use :meth:`~object.__int__`.
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.. c:function:: Py_ssize_t PyLong_AsSsize_t(PyObject *pylong)
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   .. index::
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      single: PY_SSIZE_T_MAX (C macro)
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      single: OverflowError (built-in exception)
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   Return a C :c:type:`Py_ssize_t` representation of *pylong*.  *pylong* must
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   be an instance of :c:type:`PyLongObject`.
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   Raise :exc:`OverflowError` if the value of *pylong* is out of range for a
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   :c:type:`Py_ssize_t`.
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   Returns ``-1`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
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.. c:function:: unsigned long PyLong_AsUnsignedLong(PyObject *pylong)
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   .. index::
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      single: ULONG_MAX (C macro)
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      single: OverflowError (built-in exception)
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   Return a C :c:expr:`unsigned long` representation of *pylong*.  *pylong*
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   must be an instance of :c:type:`PyLongObject`.
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   Raise :exc:`OverflowError` if the value of *pylong* is out of range for a
 | 
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   :c:expr:`unsigned long`.
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   Returns ``(unsigned long)-1`` on error.
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   Use :c:func:`PyErr_Occurred` to disambiguate.
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.. c:function:: size_t PyLong_AsSize_t(PyObject *pylong)
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   .. index::
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      single: SIZE_MAX (C macro)
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      single: OverflowError (built-in exception)
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   Return a C :c:type:`size_t` representation of *pylong*.  *pylong* must be
 | 
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   an instance of :c:type:`PyLongObject`.
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   Raise :exc:`OverflowError` if the value of *pylong* is out of range for a
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   :c:type:`size_t`.
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   Returns ``(size_t)-1`` on error.
 | 
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   Use :c:func:`PyErr_Occurred` to disambiguate.
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.. c:function:: unsigned long long PyLong_AsUnsignedLongLong(PyObject *pylong)
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   .. index::
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      single: OverflowError (built-in exception)
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   Return a C :c:expr:`unsigned long long` representation of *pylong*.  *pylong*
 | 
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   must be an instance of :c:type:`PyLongObject`.
 | 
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 | 
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   Raise :exc:`OverflowError` if the value of *pylong* is out of range for an
 | 
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   :c:expr:`unsigned long long`.
 | 
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   Returns ``(unsigned long long)-1`` on error.
 | 
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   Use :c:func:`PyErr_Occurred` to disambiguate.
 | 
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   .. versionchanged:: 3.1
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      A negative *pylong* now raises :exc:`OverflowError`, not :exc:`TypeError`.
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.. c:function:: unsigned long PyLong_AsUnsignedLongMask(PyObject *obj)
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   Return a C :c:expr:`unsigned long` representation of *obj*.  If *obj* is not
 | 
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   an instance of :c:type:`PyLongObject`, first call its :meth:`~object.__index__`
 | 
						|
   method (if present) to convert it to a :c:type:`PyLongObject`.
 | 
						|
 | 
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   If the value of *obj* is out of range for an :c:expr:`unsigned long`,
 | 
						|
   return the reduction of that value modulo ``ULONG_MAX + 1``.
 | 
						|
 | 
						|
   Returns ``(unsigned long)-1`` on error.  Use :c:func:`PyErr_Occurred` to
 | 
						|
   disambiguate.
 | 
						|
 | 
						|
   .. versionchanged:: 3.8
 | 
						|
      Use :meth:`~object.__index__` if available.
 | 
						|
 | 
						|
   .. versionchanged:: 3.10
 | 
						|
      This function will no longer use :meth:`~object.__int__`.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: unsigned long long PyLong_AsUnsignedLongLongMask(PyObject *obj)
 | 
						|
 | 
						|
   Return a C :c:expr:`unsigned long long` representation of *obj*.  If *obj*
 | 
						|
   is not an instance of :c:type:`PyLongObject`, first call its
 | 
						|
   :meth:`~object.__index__` method (if present) to convert it to a
 | 
						|
   :c:type:`PyLongObject`.
 | 
						|
 | 
						|
   If the value of *obj* is out of range for an :c:expr:`unsigned long long`,
 | 
						|
   return the reduction of that value modulo ``ULLONG_MAX + 1``.
 | 
						|
 | 
						|
   Returns ``(unsigned long long)-1`` on error.  Use :c:func:`PyErr_Occurred`
 | 
						|
   to disambiguate.
 | 
						|
 | 
						|
   .. versionchanged:: 3.8
 | 
						|
      Use :meth:`~object.__index__` if available.
 | 
						|
 | 
						|
   .. versionchanged:: 3.10
 | 
						|
      This function will no longer use :meth:`~object.__int__`.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_AsInt32(PyObject *obj, int32_t *value)
 | 
						|
                int PyLong_AsInt64(PyObject *obj, int64_t *value)
 | 
						|
 | 
						|
   Set *\*value* to a signed C :c:expr:`int32_t` or :c:expr:`int64_t`
 | 
						|
   representation of *obj*.
 | 
						|
 | 
						|
   If the *obj* value is out of range, raise an :exc:`OverflowError`.
 | 
						|
 | 
						|
   Set *\*value* and return ``0`` on success.
 | 
						|
   Set an exception and return ``-1`` on error.
 | 
						|
 | 
						|
   *value* must not be ``NULL``.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_AsUInt32(PyObject *obj, uint32_t *value)
 | 
						|
                int PyLong_AsUInt64(PyObject *obj, uint64_t *value)
 | 
						|
 | 
						|
   Set *\*value* to an unsigned C :c:expr:`uint32_t` or :c:expr:`uint64_t`
 | 
						|
   representation of *obj*.
 | 
						|
 | 
						|
   If *obj* is not an instance of :c:type:`PyLongObject`, first call its
 | 
						|
   :meth:`~object.__index__` method (if present) to convert it to a
 | 
						|
   :c:type:`PyLongObject`.
 | 
						|
 | 
						|
   * If *obj* is negative, raise a :exc:`ValueError`.
 | 
						|
   * If the *obj* value is out of range, raise an :exc:`OverflowError`.
 | 
						|
 | 
						|
   Set *\*value* and return ``0`` on success.
 | 
						|
   Set an exception and return ``-1`` on error.
 | 
						|
 | 
						|
   *value* must not be ``NULL``.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: double PyLong_AsDouble(PyObject *pylong)
 | 
						|
 | 
						|
   Return a C :c:expr:`double` representation of *pylong*.  *pylong* must be
 | 
						|
   an instance of :c:type:`PyLongObject`.
 | 
						|
 | 
						|
   Raise :exc:`OverflowError` if the value of *pylong* is out of range for a
 | 
						|
   :c:expr:`double`.
 | 
						|
 | 
						|
   Returns ``-1.0`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: void* PyLong_AsVoidPtr(PyObject *pylong)
 | 
						|
 | 
						|
   Convert a Python integer *pylong* to a C :c:expr:`void` pointer.
 | 
						|
   If *pylong* cannot be converted, an :exc:`OverflowError` will be raised.  This
 | 
						|
   is only assured to produce a usable :c:expr:`void` pointer for values created
 | 
						|
   with :c:func:`PyLong_FromVoidPtr`.
 | 
						|
 | 
						|
   Returns ``NULL`` on error.  Use :c:func:`PyErr_Occurred` to disambiguate.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: Py_ssize_t PyLong_AsNativeBytes(PyObject *pylong, void* buffer, Py_ssize_t n_bytes, int flags)
 | 
						|
 | 
						|
   Copy the Python integer value *pylong* to a native *buffer* of size
 | 
						|
   *n_bytes*. The *flags* can be set to ``-1`` to behave similarly to a C cast,
 | 
						|
   or to values documented below to control the behavior.
 | 
						|
 | 
						|
   Returns ``-1`` with an exception raised on error.  This may happen if
 | 
						|
   *pylong* cannot be interpreted as an integer, or if *pylong* was negative
 | 
						|
   and the ``Py_ASNATIVEBYTES_REJECT_NEGATIVE`` flag was set.
 | 
						|
 | 
						|
   Otherwise, returns the number of bytes required to store the value.
 | 
						|
   If this is equal to or less than *n_bytes*, the entire value was copied.
 | 
						|
   All *n_bytes* of the buffer are written: large buffers are padded with
 | 
						|
   zeroes.
 | 
						|
 | 
						|
   If the returned value is greater than than *n_bytes*, the value was
 | 
						|
   truncated: as many of the lowest bits of the value as could fit are written,
 | 
						|
   and the higher bits are ignored. This matches the typical behavior
 | 
						|
   of a C-style downcast.
 | 
						|
 | 
						|
   .. note::
 | 
						|
 | 
						|
      Overflow is not considered an error. If the returned value
 | 
						|
      is larger than *n_bytes*, most significant bits were discarded.
 | 
						|
 | 
						|
   ``0`` will never be returned.
 | 
						|
 | 
						|
   Values are always copied as two's-complement.
 | 
						|
 | 
						|
   Usage example::
 | 
						|
 | 
						|
      int32_t value;
 | 
						|
      Py_ssize_t bytes = PyLong_AsNativeBytes(pylong, &value, sizeof(value), -1);
 | 
						|
      if (bytes < 0) {
 | 
						|
          // Failed. A Python exception was set with the reason.
 | 
						|
          return NULL;
 | 
						|
      }
 | 
						|
      else if (bytes <= (Py_ssize_t)sizeof(value)) {
 | 
						|
          // Success!
 | 
						|
      }
 | 
						|
      else {
 | 
						|
          // Overflow occurred, but 'value' contains the truncated
 | 
						|
          // lowest bits of pylong.
 | 
						|
      }
 | 
						|
 | 
						|
   Passing zero to *n_bytes* will return the size of a buffer that would
 | 
						|
   be large enough to hold the value. This may be larger than technically
 | 
						|
   necessary, but not unreasonably so. If *n_bytes=0*, *buffer* may be
 | 
						|
   ``NULL``.
 | 
						|
 | 
						|
   .. note::
 | 
						|
 | 
						|
      Passing *n_bytes=0* to this function is not an accurate way to determine
 | 
						|
      the bit length of the value.
 | 
						|
 | 
						|
   To get at the entire Python value of an unknown size, the function can be
 | 
						|
   called twice: first to determine the buffer size, then to fill it::
 | 
						|
 | 
						|
      // Ask how much space we need.
 | 
						|
      Py_ssize_t expected = PyLong_AsNativeBytes(pylong, NULL, 0, -1);
 | 
						|
      if (expected < 0) {
 | 
						|
          // Failed. A Python exception was set with the reason.
 | 
						|
          return NULL;
 | 
						|
      }
 | 
						|
      assert(expected != 0);  // Impossible per the API definition.
 | 
						|
      uint8_t *bignum = malloc(expected);
 | 
						|
      if (!bignum) {
 | 
						|
          PyErr_SetString(PyExc_MemoryError, "bignum malloc failed.");
 | 
						|
          return NULL;
 | 
						|
      }
 | 
						|
      // Safely get the entire value.
 | 
						|
      Py_ssize_t bytes = PyLong_AsNativeBytes(pylong, bignum, expected, -1);
 | 
						|
      if (bytes < 0) {  // Exception has been set.
 | 
						|
          free(bignum);
 | 
						|
          return NULL;
 | 
						|
      }
 | 
						|
      else if (bytes > expected) {  // This should not be possible.
 | 
						|
          PyErr_SetString(PyExc_RuntimeError,
 | 
						|
              "Unexpected bignum truncation after a size check.");
 | 
						|
          free(bignum);
 | 
						|
          return NULL;
 | 
						|
      }
 | 
						|
      // The expected success given the above pre-check.
 | 
						|
      // ... use bignum ...
 | 
						|
      free(bignum);
 | 
						|
 | 
						|
   *flags* is either ``-1`` (``Py_ASNATIVEBYTES_DEFAULTS``) to select defaults
 | 
						|
   that behave most like a C cast, or a combination of the other flags in
 | 
						|
   the table below.
 | 
						|
   Note that ``-1`` cannot be combined with other flags.
 | 
						|
 | 
						|
   Currently, ``-1`` corresponds to
 | 
						|
   ``Py_ASNATIVEBYTES_NATIVE_ENDIAN | Py_ASNATIVEBYTES_UNSIGNED_BUFFER``.
 | 
						|
 | 
						|
   .. c:namespace:: NULL
 | 
						|
 | 
						|
   ============================================= ======
 | 
						|
   Flag                                          Value
 | 
						|
   ============================================= ======
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_DEFAULTS        ``-1``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_BIG_ENDIAN      ``0``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_LITTLE_ENDIAN   ``1``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_NATIVE_ENDIAN   ``3``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_UNSIGNED_BUFFER ``4``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_REJECT_NEGATIVE ``8``
 | 
						|
   .. c:macro:: Py_ASNATIVEBYTES_ALLOW_INDEX     ``16``
 | 
						|
   ============================================= ======
 | 
						|
 | 
						|
   Specifying ``Py_ASNATIVEBYTES_NATIVE_ENDIAN`` will override any other endian
 | 
						|
   flags. Passing ``2`` is reserved.
 | 
						|
 | 
						|
   By default, sufficient buffer will be requested to include a sign bit.
 | 
						|
   For example, when converting 128 with *n_bytes=1*, the function will return
 | 
						|
   2 (or more) in order to store a zero sign bit.
 | 
						|
 | 
						|
   If ``Py_ASNATIVEBYTES_UNSIGNED_BUFFER`` is specified, a zero sign bit
 | 
						|
   will be omitted from size calculations. This allows, for example, 128 to fit
 | 
						|
   in a single-byte buffer. If the destination buffer is later treated as
 | 
						|
   signed, a positive input value may become negative.
 | 
						|
   Note that the flag does not affect handling of negative values: for those,
 | 
						|
   space for a sign bit is always requested.
 | 
						|
 | 
						|
   Specifying ``Py_ASNATIVEBYTES_REJECT_NEGATIVE`` causes an exception to be set
 | 
						|
   if *pylong* is negative. Without this flag, negative values will be copied
 | 
						|
   provided there is enough space for at least one sign bit, regardless of
 | 
						|
   whether ``Py_ASNATIVEBYTES_UNSIGNED_BUFFER`` was specified.
 | 
						|
 | 
						|
   If ``Py_ASNATIVEBYTES_ALLOW_INDEX`` is specified and a non-integer value is
 | 
						|
   passed, its :meth:`~object.__index__` method will be called first. This may
 | 
						|
   result in Python code executing and other threads being allowed to run, which
 | 
						|
   could cause changes to other objects or values in use. When *flags* is
 | 
						|
   ``-1``, this option is not set, and non-integer values will raise
 | 
						|
   :exc:`TypeError`.
 | 
						|
 | 
						|
   .. note::
 | 
						|
 | 
						|
      With the default *flags* (``-1``, or *UNSIGNED_BUFFER*  without
 | 
						|
      *REJECT_NEGATIVE*), multiple Python integers can map to a single value
 | 
						|
      without overflow. For example, both ``255`` and ``-1`` fit a single-byte
 | 
						|
      buffer and set all its bits.
 | 
						|
      This matches typical C cast behavior.
 | 
						|
 | 
						|
   .. versionadded:: 3.13
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_GetSign(PyObject *obj, int *sign)
 | 
						|
 | 
						|
   Get the sign of the integer object *obj*.
 | 
						|
 | 
						|
   On success, set *\*sign* to the integer sign  (0, -1 or +1 for zero, negative or
 | 
						|
   positive integer, respectively) and return 0.
 | 
						|
 | 
						|
   On failure, return -1 with an exception set.  This function always succeeds
 | 
						|
   if *obj* is a :c:type:`PyLongObject` or its subtype.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_IsPositive(PyObject *obj)
 | 
						|
 | 
						|
   Check if the integer object *obj* is positive (``obj > 0``).
 | 
						|
 | 
						|
   If *obj* is an instance of :c:type:`PyLongObject` or its subtype,
 | 
						|
   return ``1`` when it's positive and ``0`` otherwise.  Else set an
 | 
						|
   exception and return ``-1``.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_IsNegative(PyObject *obj)
 | 
						|
 | 
						|
   Check if the integer object *obj* is negative (``obj < 0``).
 | 
						|
 | 
						|
   If *obj* is an instance of :c:type:`PyLongObject` or its subtype,
 | 
						|
   return ``1`` when it's negative and ``0`` otherwise.  Else set an
 | 
						|
   exception and return ``-1``.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_IsZero(PyObject *obj)
 | 
						|
 | 
						|
   Check if the integer object *obj* is zero.
 | 
						|
 | 
						|
   If *obj* is an instance of :c:type:`PyLongObject` or its subtype,
 | 
						|
   return ``1`` when it's zero and ``0`` otherwise.  Else set an
 | 
						|
   exception and return ``-1``.
 | 
						|
 | 
						|
   .. versionadded:: 3.14
 | 
						|
 | 
						|
 | 
						|
.. c:function:: PyObject* PyLong_GetInfo(void)
 | 
						|
 | 
						|
   On success, return a read only :term:`named tuple`, that holds
 | 
						|
   information about Python's internal representation of integers.
 | 
						|
   See :data:`sys.int_info` for description of individual fields.
 | 
						|
 | 
						|
   On failure, return ``NULL`` with an exception set.
 | 
						|
 | 
						|
   .. versionadded:: 3.1
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyUnstable_Long_IsCompact(const PyLongObject* op)
 | 
						|
 | 
						|
   Return 1 if *op* is compact, 0 otherwise.
 | 
						|
 | 
						|
   This function makes it possible for performance-critical code to implement
 | 
						|
   a “fast path” for small integers. For compact values use
 | 
						|
   :c:func:`PyUnstable_Long_CompactValue`; for others fall back to a
 | 
						|
   :c:func:`PyLong_As* <PyLong_AsSize_t>` function or
 | 
						|
   :c:func:`PyLong_AsNativeBytes`.
 | 
						|
 | 
						|
   The speedup is expected to be negligible for most users.
 | 
						|
 | 
						|
   Exactly what values are considered compact is an implementation detail
 | 
						|
   and is subject to change.
 | 
						|
 | 
						|
   .. versionadded:: 3.12
 | 
						|
 | 
						|
 | 
						|
.. c:function:: Py_ssize_t PyUnstable_Long_CompactValue(const PyLongObject* op)
 | 
						|
 | 
						|
   If *op* is compact, as determined by :c:func:`PyUnstable_Long_IsCompact`,
 | 
						|
   return its value.
 | 
						|
 | 
						|
   Otherwise, the return value is undefined.
 | 
						|
 | 
						|
   .. versionadded:: 3.12
 | 
						|
 | 
						|
 | 
						|
Export API
 | 
						|
^^^^^^^^^^
 | 
						|
 | 
						|
.. versionadded:: 3.14
 | 
						|
 | 
						|
.. c:struct:: PyLongLayout
 | 
						|
 | 
						|
   Layout of an array of "digits" ("limbs" in the GMP terminology), used to
 | 
						|
   represent absolute value for arbitrary precision integers.
 | 
						|
 | 
						|
   Use :c:func:`PyLong_GetNativeLayout` to get the native layout of Python
 | 
						|
   :class:`int` objects, used internally for integers with "big enough"
 | 
						|
   absolute value.
 | 
						|
 | 
						|
   See also :data:`sys.int_info` which exposes similar information in Python.
 | 
						|
 | 
						|
   .. c:member:: uint8_t bits_per_digit
 | 
						|
 | 
						|
      Bits per digit. For example, a 15 bit digit means that bits 0-14 contain
 | 
						|
      meaningful information.
 | 
						|
 | 
						|
   .. c:member:: uint8_t digit_size
 | 
						|
 | 
						|
      Digit size in bytes. For example, a 15 bit digit will require at least 2
 | 
						|
      bytes.
 | 
						|
 | 
						|
   .. c:member:: int8_t digits_order
 | 
						|
 | 
						|
      Digits order:
 | 
						|
 | 
						|
      - ``1`` for most significant digit first
 | 
						|
      - ``-1`` for least significant digit first
 | 
						|
 | 
						|
   .. c:member:: int8_t digit_endianness
 | 
						|
 | 
						|
      Digit endianness:
 | 
						|
 | 
						|
      - ``1`` for most significant byte first (big endian)
 | 
						|
      - ``-1`` for least significant byte first (little endian)
 | 
						|
 | 
						|
 | 
						|
.. c:function:: const PyLongLayout* PyLong_GetNativeLayout(void)
 | 
						|
 | 
						|
   Get the native layout of Python :class:`int` objects.
 | 
						|
 | 
						|
   See the :c:struct:`PyLongLayout` structure.
 | 
						|
 | 
						|
   The function must not be called before Python initialization nor after
 | 
						|
   Python finalization. The returned layout is valid until Python is
 | 
						|
   finalized. The layout is the same for all Python sub-interpreters
 | 
						|
   in a process, and so it can be cached.
 | 
						|
 | 
						|
 | 
						|
.. c:struct:: PyLongExport
 | 
						|
 | 
						|
   Export of a Python :class:`int` object.
 | 
						|
 | 
						|
   There are two cases:
 | 
						|
 | 
						|
   * If :c:member:`digits` is ``NULL``, only use the :c:member:`value` member.
 | 
						|
   * If :c:member:`digits` is not ``NULL``, use :c:member:`negative`,
 | 
						|
     :c:member:`ndigits` and :c:member:`digits` members.
 | 
						|
 | 
						|
   .. c:member:: int64_t value
 | 
						|
 | 
						|
      The native integer value of the exported :class:`int` object.
 | 
						|
      Only valid if :c:member:`digits` is ``NULL``.
 | 
						|
 | 
						|
   .. c:member:: uint8_t negative
 | 
						|
 | 
						|
      ``1`` if the number is negative, ``0`` otherwise.
 | 
						|
      Only valid if :c:member:`digits` is not ``NULL``.
 | 
						|
 | 
						|
   .. c:member:: Py_ssize_t ndigits
 | 
						|
 | 
						|
      Number of digits in :c:member:`digits` array.
 | 
						|
      Only valid if :c:member:`digits` is not ``NULL``.
 | 
						|
 | 
						|
   .. c:member:: const void *digits
 | 
						|
 | 
						|
      Read-only array of unsigned digits. Can be ``NULL``.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: int PyLong_Export(PyObject *obj, PyLongExport *export_long)
 | 
						|
 | 
						|
   Export a Python :class:`int` object.
 | 
						|
 | 
						|
   *export_long* must point to a :c:struct:`PyLongExport` structure allocated
 | 
						|
   by the caller. It must not be ``NULL``.
 | 
						|
 | 
						|
   On success, fill in *\*export_long* and return ``0``.
 | 
						|
   On error, set an exception and return ``-1``.
 | 
						|
 | 
						|
   :c:func:`PyLong_FreeExport` must be called when the export is no longer
 | 
						|
   needed.
 | 
						|
 | 
						|
    .. impl-detail::
 | 
						|
        This function always succeeds if *obj* is a Python :class:`int` object
 | 
						|
        or a subclass.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: void PyLong_FreeExport(PyLongExport *export_long)
 | 
						|
 | 
						|
   Release the export *export_long* created by :c:func:`PyLong_Export`.
 | 
						|
 | 
						|
   .. impl-detail::
 | 
						|
      Calling :c:func:`PyLong_FreeExport` is optional if *export_long->digits*
 | 
						|
      is ``NULL``.
 | 
						|
 | 
						|
 | 
						|
PyLongWriter API
 | 
						|
^^^^^^^^^^^^^^^^
 | 
						|
 | 
						|
The :c:type:`PyLongWriter` API can be used to import an integer.
 | 
						|
 | 
						|
.. versionadded:: 3.14
 | 
						|
 | 
						|
.. c:struct:: PyLongWriter
 | 
						|
 | 
						|
   A Python :class:`int` writer instance.
 | 
						|
 | 
						|
   The instance must be destroyed by :c:func:`PyLongWriter_Finish` or
 | 
						|
   :c:func:`PyLongWriter_Discard`.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: PyLongWriter* PyLongWriter_Create(int negative, Py_ssize_t ndigits, void **digits)
 | 
						|
 | 
						|
   Create a :c:type:`PyLongWriter`.
 | 
						|
 | 
						|
   On success, allocate *\*digits* and return a writer.
 | 
						|
   On error, set an exception and return ``NULL``.
 | 
						|
 | 
						|
   *negative* is ``1`` if the number is negative, or ``0`` otherwise.
 | 
						|
 | 
						|
   *ndigits* is the number of digits in the *digits* array. It must be
 | 
						|
   greater than 0.
 | 
						|
 | 
						|
   *digits* must not be NULL.
 | 
						|
 | 
						|
   After a successful call to this function, the caller should fill in the
 | 
						|
   array of digits *digits* and then call :c:func:`PyLongWriter_Finish` to get
 | 
						|
   a Python :class:`int`.
 | 
						|
   The layout of *digits* is described by :c:func:`PyLong_GetNativeLayout`.
 | 
						|
 | 
						|
   Digits must be in the range [``0``; ``(1 << bits_per_digit) - 1``]
 | 
						|
   (where the :c:struct:`~PyLongLayout.bits_per_digit` is the number of bits
 | 
						|
   per digit).
 | 
						|
   Any unused most significant digits must be set to ``0``.
 | 
						|
 | 
						|
   Alternately, call :c:func:`PyLongWriter_Discard` to destroy the writer
 | 
						|
   instance without creating an :class:`~int` object.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: PyObject* PyLongWriter_Finish(PyLongWriter *writer)
 | 
						|
 | 
						|
   Finish a :c:type:`PyLongWriter` created by :c:func:`PyLongWriter_Create`.
 | 
						|
 | 
						|
   On success, return a Python :class:`int` object.
 | 
						|
   On error, set an exception and return ``NULL``.
 | 
						|
 | 
						|
   The function takes care of normalizing the digits and converts the object
 | 
						|
   to a compact integer if needed.
 | 
						|
 | 
						|
   The writer instance and the *digits* array are invalid after the call.
 | 
						|
 | 
						|
 | 
						|
.. c:function:: void PyLongWriter_Discard(PyLongWriter *writer)
 | 
						|
 | 
						|
   Discard a :c:type:`PyLongWriter` created by :c:func:`PyLongWriter_Create`.
 | 
						|
 | 
						|
   If *writer* is ``NULL``, no operation is performed.
 | 
						|
 | 
						|
   The writer instance and the *digits* array are invalid after the call.
 |